this post was submitted on 17 Jan 2024
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No Stupid Questions

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No such thing. Ask away!

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[–] Ep1cFac3pa1m@lemmy.world 20 points 9 months ago* (last edited 9 months ago) (2 children)

If Nazi, then fascist = true

Fascist, if and only Nazi = not true

If car, then vehicle = true

Vehicle if and only if car = not true

[–] Valmond@lemmy.mindoki.com 4 points 9 months ago (1 children)

I used the bananas are fruits analog but your one works well too!

[–] Ep1cFac3pa1m@lemmy.world 7 points 9 months ago (1 children)

I just figured with Lemmy’s interest in politics it seemed like an obvious example. I threw in the car because I didn’t want to be that guy who makes everything about nazis…

[–] Boinkage@lemmy.world 3 points 9 months ago (1 children)

Yeah careful with that, the logic example Nazis will be all over you if you don't mix it up some.

[–] Ep1cFac3pa1m@lemmy.world 5 points 9 months ago

Not everything is about Nazis, Boinkage, geez…

[–] Lafari@lemmy.world 1 points 9 months ago (2 children)

If car, then vehicle = true

Car if and only if vehicle = true.

Is this correct?

Therefore "If A then B" = "A if and only if B" (or "If B then A" = "B if and only if A")?

[–] zenharbinger@lemmy.world 6 points 9 months ago* (last edited 9 months ago)

B can still be true when a is false. iff means that b can only be true when a is true.

Also, the equivalent statement is.

vehicle if and only if car.

not

car only if vehicle

since a truck is a vehicle, the statement is false.

Somewhat wrong above:

A B a iff b

T T T

T F F

F T F

F F T

look online for truth tables.

[–] Ep1cFac3pa1m@lemmy.world 0 points 9 months ago (1 children)

You’d have to firm up your definition of car and vehicle before you could decide that one. Does a hot wheels car count as a car? Does a vehicle have to be large enough to move people or freight?

[–] zenharbinger@lemmy.world 7 points 9 months ago* (last edited 9 months ago)

Don't confuse this guy with ontological questions.

This is straight truth table level stuff.